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Finding the Fourth Proportional to 305.54, 421.53 and 172.74

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Solution

The fourth proportional to 305.54, 421.53 and 172.74 is: 238.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.54 : 421.53 = 172.74 : x
  2. Step 2: Convert to fraction form
    305.54/421.53 = 172.74/x
  3. Step 3: Cross multiply
    305.54x = 421.53 × 172.74
  4. Step 4: Simplify right side
    305.54x = 72,815.74
  5. Step 5: Solve for x
    x = 72,815.74/305.54
  6. Step 6: Final answer
    x = 238.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.